47824938 has 64 divisors (see below), whose sum is σ = 127872000. Its totient is φ = 12943152.

The previous prime is 47824937. The next prime is 47824939. The reversal of 47824938 is 83942874.

It is an interprime number because it is at equal distance from previous prime (47824937) and next prime (47824939).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 47824893 and 47824902.

It is not an unprimeable number, because it can be changed into a prime (47824937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3853 + ... + 10511.

It is an arithmetic number, because the mean of its divisors is an integer number (1998000).

Almost surely, 2^47824938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47824938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63936000).

47824938 is an abundant number, since it is smaller than the sum of its proper divisors (80047062).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47824938 is a wasteful number, since it uses less digits than its factorization.

47824938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6696 (or 6690 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 47824938 is about 6915.5576781631. The cubic root of 47824938 is about 362.9817626245.

The spelling of 47824938 in words is "forty-seven million, eight hundred twenty-four thousand, nine hundred thirty-eight".